已知抛物线
的焦点为
,过
作直线交抛物线
于
两点,过
分别作准线
的垂线,垂足分别为
,若
和
的面积分别为8和4,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6516358878a47560b1d9eff2d5c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2711907ebea07f0bafae5137dd0c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a5c35b41bb1a8fa59998a6dcc791f1.png)
A.32 | B.16 | C.![]() | D.8 |
更新时间:2024-05-16 18:21:33
|
相似题推荐
单选题
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适中
(0.65)
【推荐1】已知斜率为k(k>0)的直线l与抛物线C:y2=4x交于A,B两点,O为坐标原点,M是线段AB的中点,F为C的焦点,△OFM的面积等于2,则k=( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
【推荐2】设抛物线
的焦点为
,准线为
,过抛物线上一点
作
的垂线,垂足为
,设
,
与
相交于点
,若
,且
的面积为
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd92066719020b975259afa8cb28244c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bed37223702819edb54d4a23912b205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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【推荐1】已知
是抛物线
的焦点,直线
与该抛物线交于第一象限内的两点A,B,若
,则
的值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231896d2386c924306fce5ccf9f9e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c75ed13fab2d95e8f55d1f86ac0fb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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适中
(0.65)
【推荐2】已知抛物线方程为
,则经过它的焦点的弦的中点轨迹方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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(0.65)
【推荐1】已知以F为焦点的抛物线
经过点
,直线
与C交于A,B两点(其中点A在x轴上方),若
,则
在y轴上的截距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca280ccbf4426a4e3837e03ac8791d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72eeed455051e355653892f1f8bbfba5.png)
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A.2 | B.1 | C.![]() | D.![]() |
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解题方法
【推荐2】已知直线l与抛物线
交于不同的两点A,B,O为坐标原点,若直线
的斜率之积为
,则直线l恒过定点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
【推荐1】已知
为坐标原点,点
为抛物线
的焦点,点
,直线
交抛物线
于
,
两点(不与
点重合),则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfb23a9e07213cb76990dbedfc7feca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303094682b317daea83be885d1c7ff4b.png)
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A.![]() | B.存在实数![]() ![]() |
C.若![]() ![]() | D.若直线![]() ![]() ![]() |
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【推荐2】定长为
的线段
的两端点在抛物线
:
上移动.设
为线段
的中点,则
到
轴的最短距离为( )
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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